Indefinite Integration PYQs - Last 10 Years

MHT CET / Mathematics / Calculus / 267 recent questions

MathematicsCalculus2017-2026

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Practice 267 MHT CET Mathematics questions from Indefinite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

267

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Mathematics / Calculus

2019-2026

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219

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2022-2026

267

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2017-2026

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Last 10 Years Indefinite Integration Questions

Showing 17 of 267 filtered questions.

1Indefinite Integration

\(\int \log x \cdot(\log x+2) d x=\)

2Indefinite Integration

\(\int \sin ^{-1} x d x=\)

3Indefinite Integration

\(\int \cot x \cdot \log [\log (\sin x)] d x=\)

4Indefinite Integration

If \(\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c\), then value of \(k\) is

5Indefinite Integration

If \(\int \frac{\sin \theta}{\sin 3 \theta} d \theta=\frac{1}{2 k} \log \left|\frac{k+\tan \theta}{k-\tan \theta}\right|+c\), then \(k=\)

6Indefinite Integration

\(\int \frac{d x}{\cos 2 x-\cos ^2 x}=\)

7Indefinite Integration

\(\int \frac{1+2 e^{-x}}{1-2 e^{-x}} d x=\)

8Indefinite Integration

\(\int\left[-\frac{\log x-1}{1+(\log x)^2}\right]^2 d x=\)

9Indefinite Integration

\(\int \frac{d x}{(\sin x+\cos x)(2 \cos x+\sin x)}=\)

10Indefinite Integration

If $\int \frac{1}{1-\cot x} d x=A x+B \log |\sin x-\cos x|+c$ then $A+B=\ldots \ldots$

11Indefinite Integration

\(\int \log x \cdot[\log (e x)]^{-2} d x=\ldots\)

12Indefinite Integration

\(\int \frac{\sqrt{x^2-a^2}}{x} d x=\ldots \ldots\)

13Indefinite Integration

\(\int \frac{\cos x+x \sin x}{x^2+x \cos x} d x=\) ...........

14Indefinite Integration

\(\int \frac{1}{\left(x^2+1\right)^2} d x=\ldots\)

15Indefinite Integration

\(\int \frac{x^2+1}{x^4-x^2+1} d x=\ldots \ldots\)

16Indefinite Integration

$$\begin{aligned} & \text { If } \int \tan (x-\alpha) \tan (x+\alpha) \cdot \tan 2 x d x \\ & =p \log |\sec 2 x|+q \log |\sec (x+\alpha)| \\ & +r \log |\sec (x-\alpha)|+c \text { then } p+q+r=\ldots \ldots \ldots \end{aligned}$$

17Indefinite Integration

If \(\int \frac{\cos x-\sin x}{8-\sin 2 x} d x=\frac{1}{p} \log \left[\frac{3+\sin x+\cos x}{3-\sin x-\cos x}\right]+c,\) then $p=$ .............