Mathbee CBSE Mathbee · CBSE Class 12 Maths
CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Q61 Markssubstitution

CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7 · Question 6 (Integrals)

Evaluate \(\int x\sin^3(x^2)\cos(x^2)\,dx\).

✅ Step-by-Step Solution

Final Answer: sin⁴(x²)/8+C
  1. Set u=sin(x²), so the integral is (1/2)∫u³ du=u⁴/8+C.

Master Chapter 7: Integrals

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Integrals.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Find the derivative of \(y=e^{\sin\sqrt{x}}\) for x>0.
Next Question →
Solve \(dy/dx=e^{x-y}\).

All Questions in CBSE Class 12 Mathematics 2026 Supplementary Paper 65(B)/7

Related Questions in Integrals